A NEW GALERKIN-BASED APPROACH FOR ACCURATE NON-LINEAR NORMAL MODES THROUGH INVARIANT MANIFOLDS

DOI10.1006/jsvi.2001.3914zbMath1237.70100OpenAlexW2150647633MaRDI QIDQ2882119

No author found.

Publication date: 3 May 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsvi.2001.3914

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Nonlinear modes (70K75)

Related Items (20)

Asymptotic construction of nonlinear normal modes for continuous systems ⋮ Nonlinear normal modes in multi-mode models of an inertially coupled elastic structure ⋮ Finite-Element-Based Nonlinear Modal Reduction of a Rotating Beam with Large-Amplitude Motion ⋮ Nonlinear normal modes and spectral submanifolds: existence, uniqueness and use in model reduction ⋮ COMPETITIVE MODES AND THEIR APPLICATION ⋮ Global detection of detached periodic solution branches of friction-damped mechanical systems ⋮ An effective finite-element-based method for the computation of nonlinear normal modes of nonconservative systems ⋮ Reduced order models for geometrically nonlinear structures: assessment of implicit condensation in comparison with invariant manifold approach ⋮ Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures ⋮ Non-iterative Rauscher method for 1-DOF system: a new approach to studying non-autonomous system via equivalent autonomous one ⋮ Nonlinear modal analysis of mechanical systems with frictionless contact interfaces ⋮ Generation of accurate finite element models of nonlinear systems-application to an aeroplane-like structure ⋮ Component mode synthesis using nonlinear normal modes ⋮ Nonlinear normal modes and their application in structural dynamics ⋮ Accurate reduced-order models for a simple rotor blade model using nonlinear normal modes. ⋮ Reduced-order models for large-amplitude vibrations of shells including in-plane inertia ⋮ Nonlinear vibration modes and instability of a conceptual model of a spar platform ⋮ Nonlinear Normal Modes of Strongly Nonlinear Periodically Excited Piecewise Linear Systems ⋮ Modal decoupling using the method of weighted residuals for the nonlinear elastic dynamics of a clamped laminated composite ⋮ Free vibration analysis of a spinning piezoelectric beam with geometric nonlinearities

This page was built for publication: A NEW GALERKIN-BASED APPROACH FOR ACCURATE NON-LINEAR NORMAL MODES THROUGH INVARIANT MANIFOLDS